Question

Find the fourth proportional in $\mathrm{2,3}\mathrm{and}6$.

Answer 1

Step:Finding the fourth proportional.

Let the fourth proportional be $\text{x}$,

Then, the numbers becomes in proportion.

$\text{⇒2:3::6:x}$

We know that,$\text{Product of extremes = Product of means}$

$$\begin{gathered} \text{⇒x×2=3×6} \\ \text{⇒ 2x=18} \\ \text{⇒ x=}\frac{18}{2} \\ \Rightarrow \mathrm{x}=9 \end{gathered}$$

Hence, the fourth proportional is $9$.